Question

Describe how you would use the Distributive Property to simplify (39 × 5). (2 points)

21. A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer.

22. Write the next three terms and write a rule to describe the number pattern. 0.57, 0.66, 0.75, 0.84, . . .

Answer 1

Use of distributive property will be
(30 x 5) + (9 x 5)

21. the error for x - 28 = 375 is not 347 is because the student subtracted both sides by 28. 347 - 28 is 319 not 375. One must add 28 to both sides of -28 and 375. The -28 and 28 is zero. 375 + 28 = 403.

22. The next three terms are 0.93, 1.02, and 1.11. The rule in the number pattern is one must add 0.09.